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Synthesis of Stabilization Systems with Unilateral Control Constraints

Synthesis of Stabilization Systems with Unilateral Control Constraints In practical applications of automatic control theory, one often deals with situations wherethe controls must range in some domain, in particular, take only nonnegative values. In this case,popular synthesis methods such as modal and optimal control are not applicable. We proposemethods for stabilizing the output variables in linear time-invariant SISO systems undernonnegative (unilateral) control constraints. The main idea is to implement the controls in theform of saturated linear functions whose saturation values coincide with the constraints on thecontrols. As an illustration of our algorithms, a pulsed DC voltage converter with an on/off switchcontrol is considered. The results of simulation in Matlab Simulink are presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automation and Remote Control Springer Journals

Synthesis of Stabilization Systems with Unilateral Control Constraints

Automation and Remote Control , Volume 82 (8) – Aug 1, 2021

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References (13)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2021
ISSN
0005-1179
eISSN
1608-3032
DOI
10.1134/s0005117921080105
Publisher site
See Article on Publisher Site

Abstract

In practical applications of automatic control theory, one often deals with situations wherethe controls must range in some domain, in particular, take only nonnegative values. In this case,popular synthesis methods such as modal and optimal control are not applicable. We proposemethods for stabilizing the output variables in linear time-invariant SISO systems undernonnegative (unilateral) control constraints. The main idea is to implement the controls in theform of saturated linear functions whose saturation values coincide with the constraints on thecontrols. As an illustration of our algorithms, a pulsed DC voltage converter with an on/off switchcontrol is considered. The results of simulation in Matlab Simulink are presented.

Journal

Automation and Remote ControlSpringer Journals

Published: Aug 1, 2021

Keywords: stabilization problem; unilateral control constraint; invariance; pulsed DC voltage converter

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